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JWICO makes three models of Computers, model X, model Y and model Z.

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JWICO makes three models of Computers, model X, model Y and model Z.  [#permalink]

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New post 04 Jan 2018, 23:43
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Question Stats:

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JWICO makes three models of Computers, model X, model Y and model Z. The selling price of model X is $700, which is 140 percent of the selling price of model Y, and 35 percent of the selling price of Z. If the manufacturer sells 210 computers, 3/7 of which are model Y, and an equal number of X and Z models, what is the total revenue from the sale of computers?

A. 132,900
B. 178,500
C. 190,000
D. 207,000
E. 290,000

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Re: JWICO makes three models of Computers, model X, model Y and model Z.  [#permalink]

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New post 05 Jan 2018, 01:14
Bunuel wrote:
JWICO makes three models of Computers, model X, model Y and model Z. The selling price of model X is $700, which is 140 percent of the selling price of model Y, and 35 percent of the selling price of Z. If the manufacturer sells 210 computers, 3/7 of which are model Y, and an equal number of X and Z models, what is the total revenue from the sale of computers?

A. 132,900
B. 178,500
C. 190,000
D. 207,000
E. 290,000



Selling price of Model X is 140% of Model Y and the ratio of prices of X and Y are 140:100(7:5)
Since the selling price of Model X is 700$, selling price of Model Y is 500$
Similarly, the selling price of Model X is 35% the price of Model Z and the ratio-Z:Y is 100:35(20:7)
This makes the selling price of Model Z, 2000$

Of the total 210 computer manufactured, 3/7*210 or 90 of the computers are of Model Y.
Remaining models are 210-90 = 120
Half of these are Model X, and other half are Model Z making X=Z=60

Total revenue from the sales of computers is 60*700 + 90*500 + 60*2000 = 42000+45000+120000 = 207000(Option D)
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Re: JWICO makes three models of Computers, model X, model Y and model Z.  [#permalink]

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New post 05 Jan 2018, 14:33
Bunuel wrote:
JWICO makes three models of Computers, model X, model Y and model Z. The selling price of model X is $700, which is 140 percent of the selling price of model Y, and 35 percent of the selling price of Z. If the manufacturer sells 210 computers, 3/7 of which are model Y, and an equal number of X and Z models, what is the total revenue from the sale of computers?

A. 132,900
B. 178,500
C. 190,000
D. 207,000
E. 290,000

Fractions are better than decimals for percents in this problem

Total revenue = (Price*qty)X + (Price*qty)Y + (Price*qty)Z

Quantities:

\(\frac{3}{7}\) of 210 are Y, rest are equally split between X and Z
\(Y = (\frac{3}{7} * 210) = 90\)
\((210 - 90) = 120\)
\(X = Z = 60\)

Prices:

\(X\) price = \($700\)

\(Y\) price: \(X\) is \(140\) percent of \(Y\)
\(X = \frac{140}{100}Y\)
\(X =\frac{7}{5} Y\)
\(Y = \frac{5}{7} X\)
\(Y = (\frac{5}{7})(700) = $500\)


\(Z\) price: \(X\) is \(35\) percent of \(Z\)
\(X =\frac{35}{100}Z\)
\(X = \frac{7}{20}Z\)
\(Z =\frac{20}{7}X\)
\(Z =(\frac{20}{7})(700)= $2,000\)


Total revenue:

\(($700)(60) + ($500)(90) + ($2,000)(60)\)
\(42,000 + 45,000 + 120,000 = $207,000\)


Answer D
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Re: JWICO makes three models of Computers, model X, model Y and model Z.   [#permalink] 05 Jan 2018, 14:33
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